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cupoosta [38]
1 year ago
12

A tire manufacturer has a 60,000 mile warranty for tread life. The company wants to make sure the average tire lasts longer than

60,000 miles. The manufacturer tests 250 tires and finds the mean life for these tires to be 64,500 miles.What is the alternative hypothesis being tested in this example
Mathematics
1 answer:
aleksandrvk [35]1 year ago
4 0

Answer:

The alternative hypothesis being tested in this example is that the tire life is of more than 60,000 miles, that is:

H_1: \mu > 60,000

Step-by-step explanation:

A tire manufacturer has a 60,000 mile warranty for tread life. The company wants to make sure the average tire lasts longer than 60,000 miles.

At the null hypothesis, we test if the tire life is of at most 60,000 miles, that is:

H_0: \mu \leq 60,000

At the alternative hypothesis, we test if the tire life is of more than 60,000 miles, that is:

H_1: \mu > 60,000

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scholastic books sells 4 times as many textbooks as keller publishing; together they sold 7,775 textbooks. how many did scholast
sashaice [31]
Let us assume the number of text books sold by <span>keller publishing = x
Then
Then </span>number of text books sold by <span>Scholastic books = 4x
The total number of text books sold = 7775
Then
x + 4x = 7775
5x = 7775
x = 1555
Then
The nu</span>mber of text books sold by Scholastic books = 4x
                                                                                  = 4 * 1555
                                                                                  = 6220

I hope the procedure is clear enough for you to understand.
4 0
2 years ago
6. Kathleen needs 240 valid signatures on a petition to get a crosswalk installed on her street. She knows
fredd [130]

Kathleen must get 300 signatures to make sure she will have enough valid signatures for the crosswalk

<em><u>Solution:</u></em>

Given that Kathleen needs 240 valid signatures on a petition to get a crosswalk installed on her street

She knows  that about 20% of the signatures will not be valid for a variety of reasons

Let "x" be the number of signatures

invalid signature = 20 % of x

valid signatures = 240

Then, according to question,

total number of signatures - invalid signatures = 240

x - 20 % of x = 240

x - 20 \% \times x = 240\\\\x - \frac{20}{100} \times x = 240\\\\x - 0.2x = 240\\\\0.8x = 240\\\\x = 300

Therefore, she must get 300 signatures so that she will have enough valid signatures for the crosswalk

3 0
1 year ago
What is the slope of a line perpendicular to the line whose equation is 3x-12y=2163x−12y=216.
Keith_Richards [23]

Answer:

Deleted account

Step-by-step explanation:

Here 3x-12y-216=0

Reducing into slope intercept form

-12y= -3x + 216

12y = 3x - 216

Which is in the form of, y = mx + c

Slope (m) = 3

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Ms. Hamby gave a quiz. Two students’ work and the answer key are shown. Ms. Hamby accepts equivalent answers in any form.
Luden [163]

Answer:

Student A and Student B both answered 2 questions correctly.

See explanation below

Step-by-step explanation:

Note: that answers in the form:

\frac{a}{-b}=\frac{-a}{b}=-\frac{a}{b}

ARE ALL EQUIVALENT.

First of all, 4/5 is equivalent to 0.8 if we do long division.

and 19/20 is 0.95 if we do long division.

Now, <u>Student A:</u>

Both of the fractions are correct and the negative sign is equivalent and makes the answer correct, so both are correct.

For <u>Student B:</u>

Similarly, both answers are correct for this student as well, looking at the equivalence we showed first.

Also, "-" (negative) in front of the parenthesis and inside parenthesis here doesn't matter.

Hence,

Student A and Student B both answered 2 questions correctly.

5 0
2 years ago
a barangay has 1000 individuals and its population doubles every 60 years. Give an exponential model for the barangay's populati
sdas [7]

Answer:

P(t) = 1000e^(0.01155)t

Step-by-step explanation:

Let the population of barangay be expressed according to the exponential formula;

P(t) = P0e^kt

P(t) is the population of the country after t years

P0 is the initial population

t is the time

If barangay has 1000 initially, this means that P0 = 1000

If the population doubles after 60years then;

at t = 60, P(t) = 2P0

Substitute into the formula

2P0 = P0e^k(60)

2 = e^60k

Apply ln to both sides

ln2 = lne^60k

ln2 = 60k

k = ln2/60

k = 0.01155

Substitute k = 0.01155 and P0 into the expression

P(t) = 1000e^(0.01155)t

Hence an exponential model for barangay's population is

P(t) = 1000e^(0.01155)t

7 0
1 year ago
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